The blood supply to the eye is mainly from the ophthalmic artery, which is a branch of the internal carotid artery. The drainage system of the eye involves the ophthalmic vein and the central retinal vein.
The ophthalmic artery is a branch of the internal carotid artery. It gives off orbital branches and optical branches.

Diagram showing the ophthalmic artery and its branches.
Orbital branches of the ophthalmic artery:
Optical branches of the ophthalmic artery:
We will go through each of these arteries in turn.